10102461121 has 3 divisors (see below), whose sum is σ = 10102561633. Its totient is φ = 10102360610.

The previous prime is 10102461113. The next prime is 10102461163. The reversal of 10102461121 is 12116420101.

The square root of 10102461121 is 100511.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 12116420101 = 6367 ⋅1903003.

It is not a de Polignac number, because 10102461121 - 2³ = 10102461113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102461181) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 50256 + ... + 150766.

Almost surely, 2^10102461121 is an apocalyptic number.

10102461121 is the 100511-st square number.

10102461121 is the 50256-th centered octagonal number.

It is an amenable number.

10102461121 is a deficient number, since it is larger than the sum of its proper divisors (100512).

10102461121 is an frugal number, since it uses more digits than its factorization.

10102461121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201022 (or 100511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 10102461121 its reverse (12116420101), we get a palindrome (22218881222).

The spelling of 10102461121 in words is "ten billion, one hundred two million, four hundred sixty-one thousand, one hundred twenty-one".